Atkin-Lehner |
2- 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bf |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-205842147840 = -1 · 29 · 32 · 5 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1469,3233] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:42:1] [139:1638:1] |
Generators of the group modulo torsion |
j |
146008608431/85731840 |
j-invariant |
L |
13.599263704033 |
L(r)(E,1)/r! |
Ω |
0.6078704922479 |
Real period |
R |
0.20714792044175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670co1 |
Quadratic twists by: -7 |